Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach

Details Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach

2009-06-02

arxiv.org/abs/0906.0617v3

Mathematics

Functional Analysis

10 pages

Scientific paper

Using fixed point methods, we prove the generalized Hyers--Ulam--Rassias
stability of ternary homomorphisms, and ternary multipliers in ternary Banach
algebras for the Jensen--type functional equation
$$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$

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